Online GCD Calculator is useful to find the GCD of 467, 966, 314, 538 quickly. Get the easiest ways to solve the greatest common divisor of 467, 966, 314, 538 i.e 1 in different methods as follows.
Given Input numbers are 467, 966, 314, 538
In the factoring method, we have to find the divisors of all numbers
Divisors of 467 :
The positive integer divisors of 467 that completely divides 467 are.
1, 467
Divisors of 966 :
The positive integer divisors of 966 that completely divides 966 are.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (467, 966, 314, 538) = 1.
Given numbers are 467, 966, 314, 538
The list of prime factors of all numbers are
Prime factors of 467 are 467
Prime factors of 966 are 2 x 3 x 7 x 23
Prime factors of 314 are 2 x 157
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 467, 966, 314, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(467, 966) = 451122
GCD(467, 966) = ( 467 x 966 ) / 451122
= 467 / 966
= 467
Step2:
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
= 1 / 314
= 1
Step3:
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
= 1 / 538
= 1
So, Greatest Common Divisor of 467, 966, 314, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 467, 966, 314, 538
The greatest common divisor of numbers 467, 966, 314, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 467, 966, 314, 538 is 1.
1. What is the GCD of 467, 966, 314, 538?
GCD of given numbers 467, 966, 314, 538 is 1
2. How to calculate the greatest common divisor of 467, 966, 314, 538?
We can find the highest common divisor of 467, 966, 314, 538 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 467, 966, 314, 538 i.e 1.
3. How can I use the GCD of 467, 966, 314, 538Calculator?
Out the numbers 467, 966, 314, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.